Answer:
[tex]3x+2=50[/tex]
There are 16 friends at Jack's party.
Step-by-step explanation:
Please consider the complete question.
Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left. Write an equation to determine the number of friends (x) at Jack's party. Find the number of friends at Jack's party.
Since there are x friends at party, so chocolate given to x friends would be 3 times x [tex](3x)[/tex] because Jack gave 3 chocolates to each friend.
As Jack has 2 chocolates left after giving to his friends, so total numbers of chocolates would be [tex]3x+2[/tex].
Now we will equate total number of chocolates by 50 as:
[tex]3x+2=50[/tex]
Therefore, the equation [tex]3x+2=50[/tex] can be used to find number of Jack's friends.
Let us solve for x.
[tex]3x+2-2=50-2[/tex]
[tex]3x=48[/tex]
[tex]\frac{3x}{3}=\frac{48}{3}[/tex]
[tex]x=16[/tex]
Therefore, there are 16 friends at Jack's party.